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Reconstruction of the shape of object with near field measurements in a half-plane 被引量：4

Reconstruction of the shape of object with near field measurements in a half-plane
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摘要 We consider a mathematical problem modelling some characteristics of near field optical microscope.We take a monofrequency line source to illuminate a sample with constant index of refraction and use the scattered field data measured near the sample to reconstruct the shape of it. Mixed reciprocity relation and factorization method are applied to solve our problem.Some numerical examples to show the feasibility of the method are presented. We consider a mathematical problem modelling some characteristics of near field optical microscope. We take a monofrequency line source to illuminate a sample with constant index of refraction and use the scattered field data measured near the sample to reconstruct the shape of it. Mixed reciprocity relation and factorization method are applied to solve our problem. Some numerical examples to show the feasibility of the method are presented.
作者 DONG HePing MA FuMing
机构地区 Institute of Mathematics
出处 《Science China Mathematics》 SCIE 2008年第6期1059-1070,共12页 中国科学：数学（英文版）
基金 the National Natural Science Foundation of China(Grant No.10431030)
关键词 Helmholtz equation inverse problem mixed reciprocity relation factorization method 35J05 78A46 Helmholtz equation inverse problem mixed reciprocity relation factorization method
分类号 O174.5 [理学—基础数学]
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参考文献10

  • 1Girard C,Dereux A.Near-field optics theories. Reports on Progress in Physics . 1996
  • 2Carney P S,Schotland J C.Near-field tomography. Inside Out:Inverse Problems and Applications . 2003
  • 3Gang Bao,Peijun Li.INVERSE MEDIUM SCATTERING PROBLEMS IN NEAR-FIELD OPTICS[J].Journal of Computational Mathematics,2007,25(3):252-265. 被引量：7
  • 4Potthast R.Point Sources and Multipoles in Inverse Scattering Theory. . 2001
  • 5Potthast R.A point source method for inverse acoustic electromagnetic obstacle scattering problems. IMA Journal of Applied Mathematics . 1998
  • 6Kitsch A.Factorization of the far-field operator for the inhomogeneous medium case and an application in inverse scattering theory. Inverse Problems . 1999
  • 7Colton D,Kress R.Inverse Acoustic and Electromagnetic Scattering Theory. . 1998
  • 8Kirsch A.An Introduction to the Mathematical Theory of Inverse Problems. . 1996
  • 9Kress R.Linear Integral Equations. . 1999
  • 10Courjon D,Bainier C.Near field microscopy and near field optics. Reports on Progress in Physics . 1994

二级参考文献36

  • 1D. Colton and R. Kress, Integral Equation Methods in Scattering Theory, Wiley, New York, 1983.
  • 2D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, Springer-Verlag, Berlin, 1998.
  • 3F. Natterer, The Mathematics of Computerized Tomography, Teubner, Stuttgart, 1986.
  • 4D. Courjon and C. Bainier, Near field microscopy and near field optics, Rep. Prog. Phys., 57 (1994), 989-1028.
  • 5C. Giard and A. Dereux, Near-field optics theories, Rep. Prog. Phys., 59 (1996), 657-699.
  • 6P. Carney and J. Schotland, Near-field tomography, in Inside Out: Inverse Problems and Applications, G. Uhlmann (Ed.), Cambridge University Press, 2003, 133-168.
  • 7D. Courjon, Near-field Microscopy and Near-field Optics, Imperial College Press, London, 2003.
  • 8P. Carney and J. Schotland, Inverse scattering for near-field microscopy, Appl. Phys. Lett., 77 (2000), 2798-2800.
  • 9P. Carney and J. Schotland, Three-dimensional total internal reflection microscopy, Opt. Lett., 26 (2001), 1072-1074.
  • 10P. Carney and J. Schotland, Theory of total-internal-reflection tomography, J. Opt. Soc. Am. A, 20 (2003), 542-547.

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Science China Mathematics
2008年 第6期

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